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dc.contributor.advisorFrauendiener, Jörg
dc.contributor.authorLaing, Christopher James
dc.date.available2014-07-01T20:44:32Z
dc.date.copyright2014
dc.identifier.citationLaing, C. J. (2014). Numerical Construction of Static Fluid Interfaces with the Embedding Formalism (Thesis, Doctor of Philosophy). University of Otago. Retrieved from http://hdl.handle.net/10523/4878en
dc.identifier.urihttp://hdl.handle.net/10523/4878
dc.description.abstractThis research project develops a mathematical and numerical framework for representing static fluid interfaces as embedded manifolds. A variational principle is developed for the embedding function of a smooth manifold, along with the necessary boundary and gauge conditions. The variational problem is solved by a combination of Finite Elements, constrained optimisation techniques, and original algorithms. The approach is applied to problems inspired by modern technological and scientific applications of static fluid interfaces, and the results are compared to exact solutions, experimental data, or other numerical methods, where possible. The impact of the numerical methods on the quality of the solution is discussed in de- tail, with reference to the boundary conditions, the gauge conditions, and the constraints.
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherUniversity of Otago
dc.rightsAll items in OUR Archive are provided for private study and research purposes and are protected by copyright with all rights reserved unless otherwise indicated.
dc.subjectStatic Fluid Interfaces
dc.subjectEmbedding
dc.subjectSurface Tension
dc.subjectSalvinia
dc.subjectLotus Effect
dc.subjectPartial Differential Equations
dc.subjectConstrained Nonlinear Optimisation
dc.titleNumerical Construction of Static Fluid Interfaces with the Embedding Formalism
dc.typeThesis
dc.date.updated2014-07-01T06:50:10Z
dc.language.rfc3066en
thesis.degree.disciplineMathematics and Statistics
thesis.degree.nameDoctor of Philosophy
thesis.degree.grantorUniversity of Otago
thesis.degree.levelDoctoral
otago.openaccessOpen
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